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Finding the Fourth Proportional to 84,249.54, 116,264.16 and 48,437.82

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Solution

The fourth proportional to 84,249.54, 116,264.16 and 48,437.82 is: 66,844.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249.54 : 116,264.16 = 48,437.82 : x
  2. Step 2: Convert to fraction form
    84,249.54/116,264.16 = 48,437.82/x
  3. Step 3: Cross multiply
    84,249.54x = 116,264.16 × 48,437.82
  4. Step 4: Simplify right side
    84,249.54x = 5,631,582,454.53
  5. Step 5: Solve for x
    x = 5,631,582,454.53/84,249.54
  6. Step 6: Final answer
    x = 66,844.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.